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Issue:Weak and strong forms of intuitionistic fuzzy sg-irresolute mappings

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Title of paper: Weak and strong forms of intuitionistic fuzzy sg-irresolute mappings
Author(s):
R. Santhi
Department of Mathematics, Nallamuthu Gounder Mahalingam College, Pollachi - 642 001, Tamil Nadu, India
santhifuzzy@yahoo.co.in
K. Arun Prakash
Department of Mathematics, Kongu Engineering College, Perundurai - 638 052, Tamil Nadu, India
Published in: "Notes on IFS", Volume 16 (2010) Number 1, pages 27—39
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Abstract: In this paper we consider new weak and strong forms of intuitionistic fuzzy irresolute and intuitionistic fuzzy semi-closed maps via the concept of intuitionistic fuzzy sg-closed sets, which we call intuitionistic fuzzy ap-irresolute maps, intuitionistic fuzzy ap-semi closed maps, intuitionistic fuzzy contra-irresolute maps and intuitionistic fuzzy contra sg-irresolute maps and use them to obtain a characterization of intuitionistic fuzzy semi-T1/2 spaces.
Keywords: Intuitionistic fuzzy topology, Intuitionistic fuzzy semi-generalized closed set, Intuitionistic fuzzy semi-open sets, Intuitionistic fuzzy SG-continuous, Intuitionistic fuzzy contra SG-continuous intuitionistic fuzzy irresolute and intuitionistic fuzzy sg-irresolute maps.
References:
  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87- 96.
  2. M. Caldas, Weak and strong forms of Irresolute maps, International Journal of Mathematics and Mathematical Sciences, Vol.23, No.4 (2000) 253-259.
  3. M.Caldas and S.Jafari, Weak and Strong Forms of β-Irresoluteness, The Arabian Journal for Science and Engineering, Volume 31, Number1A (2006), 31-39.
  4. C.L.Chang, Fuzzy topological spaces, J.Math.Anal.Appl. 24 (1986), 182-190.
  5. D.Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88 (1997), 81-89.
  6. E.El-Shafei and A.Zakai, Semi-generalized continuous mappings in fuzzy topological spaces, J.Egypt.Math.Soc. Vol.15 (1) (2007), pp.57-67.
  7. H.Gurcay, D.Coker, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy. Math, 5 (1997), 365-378.
  8. I.M.Hanafy, Completely continuous functions in Intuitionistic fuzzy topological spaces, Czechoslovak Mathematical journal , 53(128)(2003), 793-803.
  9. S.J.Lee and S.J.Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean. Math. Soc. 37 (2000). no.1, 63-71.
  10. R.Santhi and K.Arun Prakash, Intuitionistic fuzzy semi-generalized closed sets (Submitted to Korean Mathematical Society).
  11. R.Santhi and K.Arun Prakash, Intuitionistic fuzzy semi-generalized Irresolute Mappings (Submitted to Iranian Journal of Fuzzy Systems).
  12. R.Santhi and K.Arun Prakash, Intuitionistic fuzzy Contra Semi-generalized closed sets (Under Preparation).
  13. R.K.Saraf, Seema Mishra and M.Caldas, Weak and strong forms of Irresolute Fuzzy maps, Proc.Pakistan Acad.Sci, 45(2), (2008), 75-80.
  14. Young Bae Jun, Jung ok Kang and Seok Zun Kang, Intuitionistic fuzzy irresolute and continuous mappings, Far East J.Math.Sci[FJMS] 17(2) (2005), 201-216.
  15. Zhen-Guo Xu and Fu-Gui Shi, Some weakly mappings on intuitionistic fuzzy topological spaces, Tamkang Journal of Mathematics, Volume 39, Spring 2008, 25-35.
  16. L. A. Zadeh, Fuzzy sets, Information Control, 8 (1965), 338-353.
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